A383721 - cp's OEIS frontend

A383721 a(n) is the number of distinct rectangles with integer area that can be inscribed in a cube with edge length 4*n, as shown in the linked figure "Cube with inscribed rectangle".

n	a(n)
1	1
2	2
3	2
4	2
5	1
6	4
7	1
8	2
9	2
10	3
11	1
12	5
13	1
14	3
15	4
16	2
17	1
18	4
19	1
20	4
21	3
22	2
23	1
24	5
25	1
26	2
27	2
28	4
29	1
30	8
31	1
32	2
33	3
34	2
35	3
36	6
37	1
38	2
39	3
40	5
41	1
42	7
43	1
44	3
45	6
46	2
47	1
48	5
49	1
50	3
51	2
52	3
53	1
54	4
55	3
56	5
57	2
58	2
59	1
60	11
61	1
62	2
63	5
64	2
65	2
66	6
67	1
68	3
69	2
70	7
71	1
72	7
73	1
74	2
75	4
76	2
77	3
78	6
79	1
80	5
81	2
82	2
83	1
84	10
85	2
86	2
87	2

[1, 2, 2, 2, 1, 4, 1, 2, 2, 3, 1, 5, 1, 3, 4, 2, 1, 4, 1, 4, 3, 2, 1, 5, 1, 2, 2, 4, 1, 8, 1, 2, 3, 2, 3, 6, 1, 2, 3, 5, 1, 7, 1, 3, 6, 2, 1, 5, 1, 3, 2, 3, 1, 4, 3, 5, 2, 2, 1, 11, 1, 2, 5, 2, 2, 6, 1, 3, 2, 7, 1, 7, 1, 2, 4, 2, 3, 6, 1, 5, 2, 2, 1, 10, 2, 2, 2]

cp's OEIS Frontend

A383721 a(n) is the number of distinct rectangles with integer area that can be inscribed in a cube with edge length 4*n, as shown in the linked figure "Cube with inscribed rectangle".

Table of values

List of values

n	a(n)
1	1
2	2
3	2
4	2
5	1
6	4
7	1
8	2
9	2
10	3
11	1
12	5
13	1
14	3
15	4
16	2
17	1
18	4
19	1
20	4
21	3
22	2
23	1
24	5
25	1
26	2
27	2
28	4
29	1
30	8
31	1
32	2
33	3
34	2
35	3
36	6
37	1
38	2
39	3
40	5
41	1
42	7
43	1
44	3
45	6
46	2
47	1
48	5
49	1
50	3
51	2
52	3
53	1
54	4
55	3
56	5
57	2
58	2
59	1
60	11
61	1
62	2
63	5
64	2
65	2
66	6
67	1
68	3
69	2
70	7
71	1
72	7
73	1
74	2
75	4
76	2
77	3
78	6
79	1
80	5
81	2
82	2
83	1
84	10
85	2
86	2
87	2

n	a(n)
1	1
2	2
3	2
4	2
5	1
6	4
7	1
8	2
9	2
10	3
11	1
12	5
13	1
14	3
15	4
16	2
17	1
18	4
19	1
20	4
21	3
22	2
23	1
24	5
25	1
26	2
27	2
28	4
29	1
30	8
31	1
32	2
33	3
34	2
35	3
36	6
37	1
38	2
39	3
40	5
41	1
42	7
43	1
44	3
45	6
46	2
47	1
48	5
49	1
50	3
51	2
52	3
53	1
54	4
55	3
56	5
57	2
58	2
59	1
60	11
61	1
62	2
63	5
64	2
65	2
66	6
67	1
68	3
69	2
70	7
71	1
72	7
73	1
74	2
75	4
76	2
77	3
78	6
79	1
80	5
81	2
82	2
83	1
84	10
85	2
86	2
87	2

n	a(n)
1	1
2	2
3	2
4	2
5	1
6	4
7	1
8	2
9	2
10	3
11	1
12	5
13	1
14	3
15	4
16	2
17	1
18	4
19	1
20	4
21	3
22	2
23	1
24	5
25	1
26	2
27	2
28	4
29	1
30	8
31	1
32	2
33	3
34	2
35	3
36	6
37	1
38	2
39	3
40	5
41	1
42	7
43	1
44	3
45	6
46	2
47	1
48	5
49	1
50	3
51	2
52	3
53	1
54	4
55	3
56	5
57	2
58	2
59	1
60	11
61	1
62	2
63	5
64	2
65	2
66	6
67	1
68	3
69	2
70	7
71	1
72	7
73	1
74	2
75	4
76	2
77	3
78	6
79	1
80	5
81	2
82	2
83	1
84	10
85	2
86	2
87	2